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Finding the Fourth Proportional to 307,917.59, 461,870.92 and 97,550.06

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Solution

The fourth proportional to 307,917.59, 461,870.92 and 97,550.06 is: 146,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,917.59 : 461,870.92 = 97,550.06 : x
  2. Step 2: Convert to fraction form
    307,917.59/461,870.92 = 97,550.06/x
  3. Step 3: Cross multiply
    307,917.59x = 461,870.92 × 97,550.06
  4. Step 4: Simplify right side
    307,917.59x = 45,055,536,869.06
  5. Step 5: Solve for x
    x = 45,055,536,869.06/307,917.59
  6. Step 6: Final answer
    x = 146,323.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.